Four years ago, Investor $x$ invested $$500.$ Three years ago, Investor $Y$ invested $$600.$ Today, these two investments are each worth $$800.$ Assume each account continues to earn its respective rate of return and interest is compounded annually. Which one of the following statements is correct concerning these investments?

Multiple Choice

Three years from today, Investor Y$\text{'}$s investment will be worth more than Investor X$\text{'}$s investment.

One year ago, Investor $x\text{'}$s investment was worth less than Investor $Y\text{'}$s investment.

Investor $Y$ earns a higher rate of return than Investor $x.$

Investor $Y$ has earned an average annual interest rate of $9\mathrm{.}86$ percent.

Investor $x$ has earned an average annual interest rate of $12\mathrm{.}64$ percent.